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10747042240 = 265115715347
BaseRepresentation
bin10100000001001001…
…01101100111000000
31000201222110022102111
422000210231213000
5134002220322430
64534230225104
7530215231444
oct120044554700
930658408374
1010747042240
1146154749a0
1220bb1b5194
1310236ba8bc
1473d464824
1542d773c2a
hex28092d9c0

10747042240 has 112 divisors (see below), whose sum is σ = 27972008064. Its totient is φ = 3900441600.

The previous prime is 10747042213. The next prime is 10747042249. The reversal of 10747042240 is 4224074701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10747042249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2007247 + ... + 2012593.

It is an arithmetic number, because the mean of its divisors is an integer number (249750072).

Almost surely, 210747042240 is an apocalyptic number.

10747042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10747042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13986004032).

10747042240 is an abundant number, since it is smaller than the sum of its proper divisors (17224965824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10747042240 is a wasteful number, since it uses less digits than its factorization.

10747042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5946 (or 5936 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 31.

The spelling of 10747042240 in words is "ten billion, seven hundred forty-seven million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 571 704 880 1142 1760 2284 2855 3520 4568 5347 5710 6281 9136 10694 11420 12562 18272 21388 22840 25124 26735 31405 36544 42776 45680 50248 53470 58817 62810 85552 91360 100496 106940 117634 125620 171104 182720 200992 213880 235268 251240 294085 342208 401984 427760 470536 502480 588170 855520 941072 1004960 1176340 1711040 1882144 2009920 2352680 3053137 3764288 4705360 6106274 9410720 12212548 15265685 18821440 24425096 30531370 33584507 48850192 61062740 67169014 97700384 122125480 134338028 167922535 195400768 244250960 268676056 335845070 488501920 537352112 671690140 977003840 1074704224 1343380280 2149408448 2686760560 5373521120 10747042240